Tank U is a cubical container of edge 33 cm. It is completely filled with water. Tank V is a rectangular tank measuring 60 cm by 28 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 6 minutes. Give your answer in litres.
- All the water in Tank U is then poured into Tank V without spilling. How much more water is needed to fill Tank V completely? Give your answer in litres.
(a)
Volume of water in Tank V filled by the tap
= 6 x 0.8
= 4.8 ℓ
Volume of water poured into the Tank V from Tank U
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank V
= 60 x 28 x 29
= 48720 mℓ
48720 mℓ = 48720 ÷ 1000 = 48.72 ℓ
Volume of more water to fill Tank V
= 48.72 - 35.937 - 4.8
= 7.983 ℓ
Answer(s): (a) 4.8 ℓ; (b) 7.983 ℓ